Answer:
the probability that exactly 8 complete the program is 0.001025
Explanation:
given information:
60 % of those sent complete the program, p = 0.6
the total of people being sent, n = 27
exactly 8 complete the program, x = 8
to find the probability, we can use the following formula
![P(X=x)=\left[\begin{array}{ccc}n\\x\\\end{array}\right] p^{x} (1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Cx%5C%5C%5Cend%7Barray%7D%5Cright%5D%20p%5E%7Bx%7D%20%281-p%29%5E%7Bn-x%7D)
![P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (1-0.6)^{27-8}](https://tex.z-dn.net/?f=P%28X%3D8%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D27%5C%5C8%5C%5C%5Cend%7Barray%7D%5Cright%5D%200.6%5E%7B8%7D%20%281-0.6%29%5E%7B27-8%7D)
![P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (0.4)^{19}](https://tex.z-dn.net/?f=P%28X%3D8%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D27%5C%5C8%5C%5C%5Cend%7Barray%7D%5Cright%5D%200.6%5E%7B8%7D%20%280.4%29%5E%7B19%7D)
= 0.001025
Answer:
The answer is "nothing changes because the fees would still be fixed costs."
Explanation:
When annual expenses throughout the cash payment are recovered, a long-term delivery curve of both the company will change.
When the lump sum costs are still only obtained once, the long-term supply curve shall be changed.
It is because, regardless of how it is paid, this tv license has little effect mostly on low cost but only a fixed cost. Its amount of output relies on how well the cost of the profit changes. Provided these are fixed costs, their performance doesn't matter.
Answer:
The answer is: Average return Gary earned is 14.97%.
Explanation:
Please find the below for detailed explanation and calculations:
The total increase of Gary's investment in large U.S. stocks from 2012 to 2015 is calculated as : (1+15.05%) x (1+33.35%) x (1+11.50%) + (1+ 2.10%) = 1.747 times. That is, he will get 1,000 x 1.747 = $1,747 at the end of 2015.
The average return of Gary's investment in large U.S. stocks from 2012 to 2015 ( 4 year period) is: [ (The fourth root of 1.747) - 1] x 100% =14.97%.
Answer:
$168,400
Explanation:
Benders Gym repurchased their common stock at the rate of $140,000
Benders Gym pays a regular dividend of $18,500 four times in a year
For a period of one year 1,200 shares was issued at the rate of $38 per share
Therefore, the amount of cash flow to the stockholders for the past one year can be calculated as follows
=[18,500×4]-[1,200×38-(140,000)]
= 74,000-[45,600-140,000]
= 74,000-[-94,000]
= 74,000+94,000
= $168,400
Hence the amount of cash flow to the stock holders for a period of one year is $168,400